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Linear and Multilinear Algebra Volume 50, 2002 - Issue 4
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Original Articles

Invertibility of the Sum of Idempotents

J.J. Koliha Department of Mathematics and Statistics, The University of Melbourne, VIC, 3010, Australia
&
V. RakoČević Philosophical Faculty, University of Niš, Niš, 18000, Yugoslavia-Serbia
Pages 285-292 | Published online: 18 Oct 2010

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  • Gross , J. and Trenkler , G. 1999 . Nonsingularity of the difference of two oblique projectors . SIAM J. Matrix Anal. Appl. , 21 : 390 – 395 .
  • J.J. Koliha and V. Rakocevic. Invertibility of the difference of idempotents, preprint.
  • Marsaglia , G. and Styan , G.P.H. 1974 . Equalities and inequalities for the rank of matrices . Linear and Multilinear Algebra , 2 : 269 – 292 .
  • Rakocevié , V. 2000 . On the norm of idempotent in a Hubert space . Amer. Math. Monthly , 107 : 748 – 750 .
  • Tian , Y. and Styan , O.P. 2001 . Rank equalities for idempotent and involutory matrices . Linear Algebra Appi. , 335 : 101 – 117 .
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  • Wimmer , H.K. 2000 . Lipschitz continuity of oblique projections . Proc. Amer. Math. Soc. , 128 : 873 – 876 .

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